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Finding the Third Proportional to 277,597.13 and 602,760.38

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Solution

The third proportional to 277,597.13 and 602,760.38 is: 1,308,803.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,597.13 : 602,760.38 = 602,760.38 : x
  2. Step 2: Convert to fraction form
    277,597.13/602,760.38 = 602,760.38/x
  3. Step 3: Cross multiply
    277,597.13x = 602,760.38 × 602,760.38
  4. Step 4: Simplify right side
    277,597.13x = 363,320,069,670.14
  5. Step 5: Solve for x
    x = 363,320,069,670.14/277,597.13
  6. Step 6: Final answer
    x = 1,308,803.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.